Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 86, pp. 1-8.

Title: Estimates for derivatives of the Green functions for the noncoercive
   differential operators on homogeneous manifolds of negative curvature, II

Author: Roman Urban (Univ. of Wroclaw, Poland)

Abstract: 
 We consider the Green functions  for  second order
 non-coercive differential operators on homogeneous manifolds of
 negative curvature, being a semi-direct product of a nilpotent Lie
 group $N$ and $A=\mathbb{R}^+$.
 We obtain estimates for the mixed derivatives of the Green functions
 that complements a previous work by the same author [17].
 
Submitted February 18, 2003. Published August 15, 2003.
Math Subject Classifications: 11E25, 43A85, 53C30, 31B25.
Key Words: Green function; homogeneous manifolds of negative curvature; 
          NA groups; evolutions on nilpotent Lie groups.